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Finding the Fourth Proportional to 550.80, 824.58 and 319.14

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Solution

The fourth proportional to 550.80, 824.58 and 319.14 is: 477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.80 : 824.58 = 319.14 : x
  2. Step 2: Convert to fraction form
    550.80/824.58 = 319.14/x
  3. Step 3: Cross multiply
    550.80x = 824.58 × 319.14
  4. Step 4: Simplify right side
    550.80x = 263,156.46
  5. Step 5: Solve for x
    x = 263,156.46/550.80
  6. Step 6: Final answer
    x = 477.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.